Alan:
Cassius Hm, okay I agree with that. Epicurus absolutely did, at least according to DeWitt, use the structure of a syllogistic argument to prove the swerve.
As you say, what we are delving into now is a separate issue, but also important. I disagree with the rationalists and would affirm that certain truths can be ascertained from direct sensation, for example: I am now sitting in my chair at my desk and I feel the chair under me, therefore the chair exists. This is not a syllogism because there is only one premise.
So to expand my question from earlier, how would Epicurus have proved the nonexistence of the afterlife either by way of direct empirical experience or by using a syllogistic argument form as he did with the swerve and the infinity of the universe?